725427360 has 576 divisors, whose sum is σ = 3102624000. Its totient is φ = 157538304.

The previous prime is 725427319. The next prime is 725427371. The reversal of 725427360 is 63724527.

It is a happy number.

It is a super-3 number, since 3×725427360³ (a number of 28 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4868566 + ... + 4868714.

It is an arithmetic number, because the mean of its divisors is an integer number (5386500).

Almost surely, 2^725427360 is an apocalyptic number.

725427360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551312000).

725427360 is an abundant number, since it is smaller than the sum of its proper divisors (2377196640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

725427360 is a wasteful number, since it uses less digits than its factorization.

725427360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 725427360 is about 26933.7587425149. The cubic root of 725427360 is about 898.5273694913.

The spelling of 725427360 in words is "seven hundred twenty-five million, four hundred twenty-seven thousand, three hundred sixty".